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Finding the Fourth Proportional to 6,312.75, 9,471.09 and 2,616.72

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Solution

The fourth proportional to 6,312.75, 9,471.09 and 2,616.72 is: 3,925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.75 : 9,471.09 = 2,616.72 : x
  2. Step 2: Convert to fraction form
    6,312.75/9,471.09 = 2,616.72/x
  3. Step 3: Cross multiply
    6,312.75x = 9,471.09 × 2,616.72
  4. Step 4: Simplify right side
    6,312.75x = 24,783,190.62
  5. Step 5: Solve for x
    x = 24,783,190.62/6,312.75
  6. Step 6: Final answer
    x = 3,925.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.